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@wasade
Created July 14, 2013 23:43
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Gamma distributions for your viewing pleasure. This can be viewed using the IPython notebook viewer: http://nbviewer.ipython.org/5996597
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{
"metadata": {
"name": "Gamma distribution figures"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Based on Dan Knights' distribution figures in R. Enumerate a few parameters and display the resulting PDFs."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from cogent.maths.stats.special import Gamma\n",
"\n",
"xx = arange(0.25,25,0.25)\n",
"shapes = [.5, 1.0, 1.5, 2.0, 5.0]\n",
"scales = [.25, 1.0, 2.0, 3.0]\n",
"\n",
"f, axarr = plt.subplots(len(shapes), len(scales), figsize=(10,10))\n",
"f.text(0.5,0.95, \"gamma(x; k, theta)\", horizontalalignment='center', verticalalignment='top', fontsize=25)\n",
"f.tight_layout() # better spacing\n",
"subplots_adjust(top = 0.8)\n",
" \n",
"for k_idx, k in enumerate(shapes):\n",
" gm = Gamma(k)\n",
" for th_idx, th in enumerate(scales):\n",
" dist = (1 / ((th**k) * gm)) * xx**(k - 1) * e**(-xx / th)\n",
" axarr[k_idx, th_idx].plot(dist, linewidth=3, color='k')\n",
" \n",
" # set the title\n",
" axarr[k_idx, th_idx].set_title(\"k=%0.1f, th=%0.1f\" % (k, th), fontsize=12)\n",
"\n",
" # hide axes labels and ticks\n",
" plt.setp(axarr[k_idx, th_idx].get_xticklabels(), visible=False)\n",
" plt.setp(axarr[k_idx, th_idx].get_yticklabels(), visible=False)\n",
" \n",
" plt.setp(axarr[k_idx, th_idx].get_xticklines(), visible=False)\n",
" plt.setp(axarr[k_idx, th_idx].get_yticklines(), visible=False)\n",
"savefig(\"gamma.pdf\")\n",
"\n",
"# note, the saved PDF displays the title properly"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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ZuJJadevWTR7v27dPwUiIbDNgwABIkgQA+PHHH5GXl6dwRKQWZhWuAFBWVubIOIgcqmrH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\nZ+PFixeYNGmS0dzDZ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}
],
"prompt_number": 33
}
],
"metadata": {}
}
]
}
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